Home / 1,459.02-2,186.90-765.76

Finding the Fourth Proportional to 1,459.02, 2,186.90 and 765.76

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Solution

The fourth proportional to 1,459.02, 2,186.90 and 765.76 is: 1,147.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,459.02 : 2,186.90 = 765.76 : x
  2. Step 2: Convert to fraction form
    1,459.02/2,186.90 = 765.76/x
  3. Step 3: Cross multiply
    1,459.02x = 2,186.90 × 765.76
  4. Step 4: Simplify right side
    1,459.02x = 1,674,644.37
  5. Step 5: Solve for x
    x = 1,674,644.37/1,459.02
  6. Step 6: Final answer
    x = 1,147.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.